Polarized triple-collinear splitting functions at NLO for processes with photons

Understand

We compute the polarized splitting functions in the triple collinear limit at next-to-leading order accuracy (NLO) in the strong coupling $\alpha_{\rm S}$, for the splitting processes $\gamma \to q \bar{q} \gamma$, $\gamma \to q \bar{q} g$ and $g \to q \bar{q} \gamma$.

• The divergent structure of each splitting function was compared to the predicted behaviour according to Catani's formula.
• The results obtained in this paper are compatible with the unpolarized splitting functions computed in a previous article.
• Explicit results for NLO corrections are presented in the context of conventional dimensional regularization (CDR).